Affiliation:
1. Mathematical Sciences and STAG Research Centre, University of Southampton, Southampton SO17 1BJ, UK
2. Next Generation Computational Modelling Group, University of Southampton, Southampton SO16 7PP, UK
Abstract
ABSTRACT
We present an extension to the special relativistic, ideal magnetohydrodynamic (MHD) equations, designed to capture effects due to resistivity. The extension takes the simple form of an additional source term that, when implemented numerically, is shown to emulate the behaviour produced by a fully resistive MHD description for a range of initial data. The extension is developed from first principles arguments, and thus requires no fine-tuning of parameters, meaning it can be applied to a wide range of dynamical systems. Furthermore, our extension does not suffer from the same stiffness issues arising in resistive MHD, and thus can be evolved quickly using explicit methods, with performance benefits of roughly an order of magnitude compared to current methods.
Funder
Engineering and Physical Sciences Research Council
Publisher
Oxford University Press (OUP)
Subject
Space and Planetary Science,Astronomy and Astrophysics
Cited by
8 articles.
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